Predicting 1-Year Mortality in Patients with Non-ST Elevation Myocardial Infarction (NSTEMI) Using Survival Models and Aortic Pressure Signals Recorded During Cardiac Catheterization
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Design and Study Population
2.2. Statistical Analysis
2.3. Pre-Processing and Detecting Dicrotic Notch
2.4. Feature Extraction
2.5. Feature Selection and Survival Models
2.6. Experimental Analysis
2.7. Model Explanation and Feature Importance
3. Results
3.1. Patients’ Characteristics
3.2. Results of Survival Analysis
3.3. Feature Importance Results Based on SHAP Method
4. Discussion
4.1. Comparison with Previous Studies on Predicting Mortality
4.2. Prediction Results
4.3. Characteristic Features
4.4. Limitations of the Study Features
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A

| Feature | Definition and Purpose |
|---|---|
| Absolute pressures | |
| Diastolic blood pressure (DBP) Systolic blood pressure (SBP) Mean aortic pressure (MAP) Dicrotic notch pressure (DNP) | SBP, DBP, MAP, and DNP were extracted to capture important components of the AP waveform. SBP represents the maximum of the AP waveform, while DBP represents the minimum pressure just before the next contraction. Both SBP and DBP have been shown to independently influence the risk of adverse cardiovascular events [50]. MAP represents the average pressure in a person’s arteries during one cardiac cycle. We used the commonly used definition of MAP as (2 × DBP + SBP)/3. It has been shown that in patients with cardiogenic shock treated with inotropic therapy, lower MAP is associated with worse clinical outcomes [51]. DNP is the pressure at dicrotic notch (see Figure A1). A higher DNP indicates effective closure of the aortic valve [52]. In addition, we calculated this value to extract other features, such as DesP (described below). |
| Relative pressures | |
| Pulse pressure (PP) Relative dicrotic notch pressure (rDNP) Dicrotic notch index (DNIx) Descending pressure (DesP) Descending index (DesIx) | PP, defined as the difference between SBP and DBP, reflects the strength of each cardiac contraction. It is shown that PP measured at admission is an independent marker to predict mortality and recurrence of myocardial infarction in patients with acute coronary syndrome [53]. rDNP is the difference between dicrotic notch pressure and diastolic blood pressure. We extracted this feature and its index (DNIx, defined as the ratio of rDNP to PP) to examine their predictive power for predicting mortality in the NSTEMI cohort. DesP, the difference between systolic blood pressure and dicrotic notch pressure at the aortic level, serves as a marker of ventricular-arterial coupling. DesIx which Is the divide of DesP over PP has been shown that can be used to detect aortic regurgitation [54]. |
| Durations | |
| Duration heartbeat (DBP) Heartrate (HR) Duration systole (DS) Duration upstroke systole (DUS) Duration downstroke systole (DDS) Duration diastole (DD) Descending time (DesT) Overall time (OT) | HR is the heart rate measured in beats per minute (bpm), and it has previously been shown to be an independent predictor of adverse outcomes in patients with coronary artery disease [55]. It has been reported that the duration from the start of the arterial pressure waveform to the dicrotic notch reflects systolic function [52]. Moreover, in patients with impaired cardiac contractility, an increased heart rate often acts as a compensatory mechanism to maintain cardiac output. This can affect the timing of different parts of the cardiac cycle. Therefore, we extracted several timing-related features from the AP waveform, even though some of them have not previously been linked to outcomes in patients with myocardial infarction. Specifically, we measured the upstroke and downstroke portions of systole, as well as overall systolic and diastolic intervals, to capture changes in cardiac function. Moreover, we extracted the overall time of the cardiac catheterization (OT), as a longer duration may suggest that the procedure was more complex or challenging. The exact definition of each duration is listed in Table 1. |
| Slopes | |
| Systolic upstroke slope (SUS) Systolic downstroke slope (SDS) Maximum slope (MS) | Abrupt myocardial damage compromises the myocardial ability to maintain adequate amount of blood ejected per heartbeat (also known as stroke volume). Patients with low stroke volume have slow uprise of the AP tracing, or smaller AUCp [56,57]. A slow uprise can be captured using SUS, which is the slope of the line from the start of the AP waveform to the systolic peak. In addition to SUS, we calculated other slopes that might be important in patients with NSTEMI. |
| Areas | |
| Area under the pressure curve (AUCp) Systolic area (SysA) Diastolic area (DiaA) Myocardial oxygen supply/demand ratio (O2ratio) Ascending area (AscA) Descending area (DesA) Area ratio (AR) | As mentioned in the slopes section, patients who eject a smaller amount of blood per heartbeat may have a smaller area under the AP curve, represented as AUCp in this study. Aside from AUCp, myocardial infarction can impair the heart’s ability to pump blood during systole. For example, MI can reduce cardiac contractility [58], which in turn may affect the area under the systolic curve (SysA). The myocardial oxygen supply/demand ratio reflects the myocardial oxygenation, specially subendocardial myocardial ischemia due to imbalance between myocardial oxygen supply and demand [46]. In addition, we extracted areas from other parts of the AP waveform to determine whether any of them could help identify patients at risk of mortality in the NSTEMI cohort. The definitions of these features, along with the parts of the waveform from which they were extracted, are listed in Table 1. |
| Other | |
| Fractal dimension of p (FDp) Skewness of p (SK) Kurtosis of p (KU) Spectral entropy of p (SE) Average spectral power of p (Pave) Maximum spectral power (MSP) Maximum spectral power frequency (MSPF) Shock index (SI) Age shock index (SI_age) Modified shock index (mSI) Age-modified shock index (mSI_age) | Other than pressures, slopes, durations, and areas, we extracted additional features that we suspected might be important for identifying NSTEMI patients at risk of mortality. The FDp is the fractal dimension of each AP waveform. In time-series analysis, fractal dimension provides a measure of how complex or irregular a waveform is [59]. Skewness (SK) quantifies the asymmetry of the waveform, while kurtosis (KU) assesses whether the waveform has heavier or lighter tails compared to a normal distribution. We used these features to identify potential patterns that may help in detecting high-risk NSTEMI patients SE, Pave, MSP, and MSPF were the only features extracted from the frequency domain to assess whether they carried information relevant to mortality prediction. For example, SE measures the irregularity or complexity of a signal in the frequency domain, while Pave indicates the mean energy of the signal. MSP and MSPF represent the dominant spectral peak and its corresponding frequency, respectively. SI is defined as heart rate divided by systolic blood pressure. It was first introduced as an additional tool for evaluating hemodynamic stability of patients [60]. Since then, it has been widely used for risk stratification; for example, it has been applied to predict short-term adverse outcomes in STEMI patients [61] and to predict in-hospital mortality in NSTEMI patients [62]. The modified shock index (mSI) is defined as the ratio of heart rate to mean arterial pressure. SI_age and mSI_age are like SI and mSI but are calculated by multiplying SI and mSI by age. A study demonstrated that SI_age and mSI_age are even better predictors than SI and mSI for in-hospital cardiovascular events, as well as 6-month and long-term all-cause mortality, in a STEMI cohort [45]. |
| Model | Hyperparameter | Values |
|---|---|---|
| RSF | n_estimators | 50–1000 |
| max_depth | None (no limit), 1–20 | |
| min_samples_split | 1–20 | |
| min_samples_leaf | 1–20 | |
| max_features | Sqrt, none (all features) | |
| DeepSurv | optimizer | AdamW |
| activation | SELU, ReLU | |
| number of layers | 2–5 | |
| number of nodes | 16, 32, 64, 128, 256, 512 | |
| dropout rate | 0.001, 0.01, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8 | |
| learning rate | 0.0001–0.1 | |
| weight decay | 0, 0.0001–0.01 |












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| Feature | Abbreviation | Definition |
|---|---|---|
| Absolute pressures | ||
| Diastolic blood pressure | DBP | ) |
| Systolic blood pressure | SBP | ) |
| Mean aortic pressure | MAP | (2 × DBP + SBP)/3 |
| Dicrotic notch pressure | DNP | @ dicrotic notch |
| Relative pressures | ||
| Pulse pressure | PP | SBP − DBP |
| Relative dicrotic notch pressure | rDNP | DNP − DBP |
| Dicrotic notch index | DNIx | (rDNP/PP) * 100 |
| Descending pressure | DesP | SBP − DNP |
| Descending index | DesIx | (DesP/PP) * 100 |
| Durations | ||
| Duration heartbeat | DHB | (t @ end) |
| Heartrate | HR | 60/(t @ end) |
| Duration systole | DS | t @ dicrotic notch |
| Duration upstroke systole | DUS | t @ systolic peak |
| Duration downstroke systole | DDS | DS − DUS |
| Duration diastole | DD | DHB − DS |
| Descending time | DesT | DHB − DUS |
| Overall time | OT | whole time of the cardiac catheterization procedure |
| Slopes | ||
| Systolic upstroke slope | SUS | (SBP − DBP)/DUS |
| Systolic downstroke slope | SDS | (DNP − SBP)/DDS |
| Maximum slope | MS | ′) |
| Areas | ||
| Area under the pressure curve | AUCp | |
| Systolic area | SysA | |
| Diastolic area | DiaA | (diastole) |
| Myocardial oxygen supply/demand ratio | O2ratio | DiaA/SysA |
| Ascending area | AscA | |
| Descending area | DesA | AUCp − AscA |
| Area ratio | AR | AscA/DesA |
| Other | ||
| Fractal dimension of p | FDp | |
| Skewness of p | SK | |
| Kurtosis of p | KU | |
| Spectral entropy of p | SE | - Sum (norm (PSD) × log2(norm (PSD))) |
| Average spectral power of p | Pave | Sum (PSD)/N |
| Maximum spectral power | MSP | Maximum amplitude of PSD |
| Maximum spectral power frequency | MSPF | Frequency of the maximum amplitude of PSD |
| Shock index | SI | HR/SBP |
| Age shock index | SI_age | Age × SI |
| Modified shock index | mSI | HR/MAP |
| Age-modified shock index | mSI_age | Age × mSI |
| Characteristics | Total | No Death | Death < 1 Year | No Death vs. Death < 1 Year | |
|---|---|---|---|---|---|
| # of patients | 497 | 466 (93.76%) | 31 (6.24%) | p-value | Effect Size |
| Demographics | |||||
| Age, years | 66.3 ± 12.9 | 65.5 ± 12.7 | 78.4 ± 10.2 | **** | 1.02 |
| Sex (female/male) | 187 (37.6%)/ 310 (62.4%) | 175 (37.6%)/ 291 (62.4%) | 12 (38.7%)/ 31 (61.3%) | NS | 0.01 |
| Height, cm | 168.86 ± 10.07 | 168.97 ± 10.08 | 167.29 ± 10.05 | NS | 0.17 |
| Weight, kg | 85.43 ± 21.04 | 85.74 ± 20.82 | 80.78 ± 23.97 | NS | 0.24 |
| BMI, kg/m2 | 29.83 ± 6.31 | 29.91 ± 6.28 | 28.53 ± 6.73 | NS | 0.22 |
| Risk Factors | |||||
| Hypertension | 359 (72.23%) | 329 (70.60%) | 30 (96.77%) | ** | 0.14 |
| DM | 187 (37.63%) | 166 (35.62%) | 21 (67.74%) | *** | 0.16 |
| Dyslipidemia | 279 (56.14%) | 256 (54.94%) | 23 (74.19%) | * | 0.09 |
| Stroke or TIA | 34 (6.84%) | 32 (6.87%) | 2 (6.45%) | NS | 0.00 |
| PVD | 30 (6.04%) | 16 (3.43%) | 14 (45.16%) | **** | 0.42 |
| CKD | 80 (16.10%) | 66 (14.16%) | 14 (45.16%) | **** | 0.22 |
| Dialysis | 9 (1.81%) | 6 (1.29%) | 3 (9.68%) | * | 0.15 |
| History of IHD | 170 (34.21%) | 153 (32.83%) | 17 (54.84%) | * | 0.11 |
| PCI or CABG | 140 (28.17%) | 125 (26.82%) | 15 (48.39%) | ** | 0.12 |
| Catheterization Data | |||||
| ESP, s/min | 18.68 ± 3.17 | 18.80 ± 3.17 | 16.80 ± 2.44 | **** | 0.64 |
| EST, s/beat | 0.25 ± 0.04 | 0.25 ± 0.04 | 0.21 ± 0.04 | **** | 1.07 |
| Model | Folds | Results | ||
|---|---|---|---|---|
| C-Index | IBS | Mean Time-Dependent AUC | ||
| CPH | Fold 1 | 0.869 | 0.030 | 0.868 |
| Fold 2 | 0.902 | 0.045 | 0.911 | |
| Fold 3 | 0.887 | 0.034 | 0.934 | |
| Fold 4 | 0.846 | 0.033 | 0.832 | |
| Fold 5 | 0.894 | 0.040 | 0.897 | |
| Average | 0.880 | 0.036 | 0.888 | |
| RSF | Fold 1 | 0.902 | 0.033 | 0.900 |
| Fold 2 | 0.872 | 0.031 | 0.883 | |
| Fold 3 | 0.921 | 0.030 | 0.925 | |
| Fold 4 | 0.873 | 0.035 | 0.888 | |
| Fold 5 | 0.904 | 0.035 | 0.908 | |
| Average | 0.894 | 0.033 | 0.901 | |
| DeepSurv | Fold 1 | 0.922 | 0.024 | 0.916 |
| Fold 2 | 0.906 | 0.031 | 0.918 | |
| Fold 3 | 0.972 | 0.022 | 0.979 | |
| Fold 4 | 0.944 | 0.029 | 0.954 | |
| Fold 5 | 0.932 | 0.033 | 0.938 | |
| Average | 0.935 | 0.028 | 0.939 | |
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Razavi, S.R.; Shah, A.H.; Moussavi, Z. Predicting 1-Year Mortality in Patients with Non-ST Elevation Myocardial Infarction (NSTEMI) Using Survival Models and Aortic Pressure Signals Recorded During Cardiac Catheterization. Signals 2026, 7, 15. https://doi.org/10.3390/signals7010015
Razavi SR, Shah AH, Moussavi Z. Predicting 1-Year Mortality in Patients with Non-ST Elevation Myocardial Infarction (NSTEMI) Using Survival Models and Aortic Pressure Signals Recorded During Cardiac Catheterization. Signals. 2026; 7(1):15. https://doi.org/10.3390/signals7010015
Chicago/Turabian StyleRazavi, Seyed Reza, Ashish H. Shah, and Zahra Moussavi. 2026. "Predicting 1-Year Mortality in Patients with Non-ST Elevation Myocardial Infarction (NSTEMI) Using Survival Models and Aortic Pressure Signals Recorded During Cardiac Catheterization" Signals 7, no. 1: 15. https://doi.org/10.3390/signals7010015
APA StyleRazavi, S. R., Shah, A. H., & Moussavi, Z. (2026). Predicting 1-Year Mortality in Patients with Non-ST Elevation Myocardial Infarction (NSTEMI) Using Survival Models and Aortic Pressure Signals Recorded During Cardiac Catheterization. Signals, 7(1), 15. https://doi.org/10.3390/signals7010015

